How do I download non iTunes purchased songs onto a different iTunes on a new computer.?

I just got a new computer, and I usually download my music from Napster. I have a bunch of songs on my iPod Touch from Napster and when I plugged in my iPod, it only transferred my iTunes purchases. Is there some way I can get these songs onto my new computer. My old computer is broken so I cannot get the music directly from it.

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